This NY Times opinion piece about cancel culture has become my "tome" regarding the subject. That thing about Dixie Chicks embodies the thesis number 8: "The right and the left both cancel; it’s just that today’s right is too weak to do it effectively."
Today the people with the most to fear from a right-wing cancel culture usually work inside Trump-era professional conservatism. (And even for them there’s often a new life awaiting as a professional NeverTrumper.) Attempted cancellations on the right are mostly battles for control over diminishing terrain, with occasional forays against red-state academics and anti-Trump celebrities. Meanwhile, the left’s cancel warriors imagine themselves conquering the entire non-Fox News map.
Also American right-wingers complain about the left virtue signaling but they have their own symbols for that. Think about MAGA merchandise and other Trump symbols, "Blue Lives Matter", "Support our troops" stickers, supporting "traditional values" and so on.